Other mistake: The excavator with the rotating bucket wheel that is shown in the opening is turning backwards from the direction required for it to actually dig.
Character mistake: The Native American brother points to the Bronze Star and refers to it as the Silver Star.
Factual error: The intro takes place in March. The trees in the background say otherwise. In the mountains in March, leaves are usually not fully developed on trees until April at the earliest. The scene was likely shot in the fall.
Continuity mistake: The main character is chasing after the guy in white. Right before he falls, the main character shoots him in the left shoulder. The mark disappears from his shirt after that.
Suggested correction: The guy was shot in his right shoulder not his left, when his head hit the rock, his left shoulder (not his right) is exposed.
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The Unravelling: Part 2 - S1-E9
Continuity mistake: When Beth and John are talking right at the end of the episode, her messed-up hair suddenly appears brushed between shots.